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145312344 = 233223471867
BaseRepresentation
bin10001010100101…
…00101001011000
3101010102122001200
420222110221120
5244144443334
622230314200
73413064102
oct1052245130
9333378050
10145312344
1175030351
12407b8960
132414a348
1415428572
15cb55799
hex8a94a58

145312344 has 96 divisors (see below), whose sum is σ = 419627520. Its totient is φ = 45321408.

The previous prime is 145312337. The next prime is 145312373. The reversal of 145312344 is 443213541.

It is a happy number.

145312344 is a `hidden beast` number, since 1 + 4 + 5 + 312 + 344 = 666.

It is a super-2 number, since 2×1453123442 = 42231354637548672, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76899 + ... + 78765.

It is an arithmetic number, because the mean of its divisors is an integer number (4371120).

Almost surely, 2145312344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145312344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209813760).

145312344 is an abundant number, since it is smaller than the sum of its proper divisors (274315176).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

145312344 is a wasteful number, since it uses less digits than its factorization.

145312344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1949 (or 1942 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 145312344 is about 12054.5569806609. The cubic root of 145312344 is about 525.7357412310.

Adding to 145312344 its reverse (443213541), we get a palindrome (588525885).

The spelling of 145312344 in words is "one hundred forty-five million, three hundred twelve thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 47 69 72 92 94 138 141 184 188 207 276 282 376 414 423 552 564 828 846 1081 1128 1656 1692 1867 2162 3243 3384 3734 4324 5601 6486 7468 8648 9729 11202 12972 14936 16803 19458 22404 25944 33606 38916 42941 44808 67212 77832 85882 87749 128823 134424 171764 175498 257646 263247 343528 350996 386469 515292 526494 701992 772938 789741 1030584 1052988 1545876 1579482 2018227 2105976 3091752 3158964 4036454 6054681 6317928 8072908 12109362 16145816 18164043 24218724 36328086 48437448 72656172 145312344